Napiers Bones A Mechanical Calculator by James Nickel
Napier’s Bones A Mechanical Calculator
by James Nickel Copyright 2006 www. biblicalchristianworldview. net
Board 1 2 3 4 5 6 7 8 9 Copyright 2006 www. biblicalchristianworldview. net
Set of Rods 0 0 0 0 0 0 2 3 4 5 6 7 8 9 0 0 0 2 0 1 1 1 3 4 6 8 0 2 4 6 8 0 0 1 1 1 2 2 2 4 6 9 2 5 8 1 4 7 0 1 1 2 2 2 3 3 5 8 2 6 0 4 8 2 6 1 1 2 2 3 3 4 4 6 0 5 0 5 1 1 2 3 3 4 4 5 7 2 8 4 0 6 2 8 4 Copyright 2006 www. biblicalchristianworldview. net 1 2 2 3 4 4 5 6 8 4 1 8 5 2 9 6 3 1 2 3 4 4 5 6 7 9 6 4 2 0 8 6 4 2 1 2 3 4 5 6 7 8 8 7 6 5 4 3 2 1
Multiplying 15 5 1 1 2 0 3 0 4 0 5 0 6 0 7 0 8 0 9 0 5 2 3 4 5 6 7 8 9 1 1 2 2 3 3 4 4 0 5 0 Read 15 5 = 75 5 5 ones 0 5 + 2 = 7 tens 5 0 5 Copyright 2006 www. biblicalchristianworldview. net
Multiplying 28 7 1 2 2 0 3 0 4 0 5 1 6 1 7 1 8 1 9 1 8 4 6 8 0 2 4 6 8 1 2 3 4 4 5 6 7 6 4 2 0 8 Read 28 7 = 196 6 6 ones 4 5 + 4 = 9 tens 2 1 hundred Copyright 2006 www. biblicalchristianworldview. net
Multiplying 515 4 5 2 1 3 1 4 2 5 2 6 3 7 3 8 4 9 4 1 0 5 0 5 0 0 1 0 0 0 5 2 3 4 5 6 7 8 9 1 1 2 2 3 3 4 4 0 5 0 Read 515 4 = 2060 0 ones 2 + 4 = 6 tens 5 0 + 0 = 0 hundreds 0 2 thousands 5 0 5 Copyright 2006 www. biblicalchristianworldview. net
Multiplying 49868 5 1 4 2 0 3 1 4 1 5 2 6 2 7 2 8 3 9 8 2 6 0 4 8 2 6 1 2 3 4 5 6 7 8 8 8 7 6 5 4 3 2 1 1 2 3 4 4 5 6 7 6 6 4 2 0 8 6 4 2 1 1 2 3 3 4 4 5 8 2 8 4 0 6 2 8 4 1 2 3 4 4 5 6 7 6 4 Read 49868 5 = 249, 340 2 0 ones 0 0 + 4 = 4 tens 8 0 + 3 = 3 hundreds 5 + 4 = 9 thousands 6 0 + 4 = 4 ten thousands 4 2 hundred thousands 2 Copyright 2006 www. biblicalchristianworldview. net
Multiplying 976 8 1 9 2 1 3 2 4 3 5 4 6 5 7 6 8 7 9 8 7 6 5 4 3 2 1 1 2 2 3 4 4 5 6 6 4 1 8 5 2 9 6 3 1 1 2 3 3 4 4 5 2 8 4 0 6 2 Read 976 8 = 7, 808 8 ones 6 + 4 = 10 tens (write 0 and carry 1) 8 2 + 5 + 1 (carried) = 8 hundreds 4 7 thousands Copyright 2006 www. biblicalchristianworldview. net
Multiplying 52, 908 7 5 1 3 1 4 2 5 2 6 3 7 3 8 4 9 4 0 5 0 5 0 0 2 2 0 1 1 1 9 4 6 8 0 2 4 6 8 1 2 3 4 5 6 7 8 8 0 8 7 6 5 4 3 2 1 0 0 0 0 1 2 3 4 4 5 6 7 6 4 Read 52, 908 7 = 370, 356 2 6 ones 0 8 6 0 + 5 = 5 tens 3 + 0 = 3 hundreds 4 + 6 = 10 thousands (write 0 and carry 1) 4 5 + 1 (carried) = 7 ten thousands 2 3 hundred thousands Copyright 2006 www. biblicalchristianworldview. net
Multiplying 548, 698 6 1 5 2 1 3 1 4 2 5 2 6 3 7 3 8 4 9 4 4 0 5 0 5 0 1 1 2 2 2 3 3 8 8 2 6 0 4 8 2 6 1 2 3 4 4 5 6 7 6 6 4 2 0 8 6 4 2 1 1 2 3 3 4 4 5 9 2 8 4 0 6 2 8 4 1 2 3 4 5 6 7 8 8 8 7 6 5 4 3 2 1 1 2 3 4 4 5 6 7 6 4 2 Read 548, 698 6 = 3, 292, 188 8 ones 4 + 4 = 8 tens 0 6 + 5 = 11 hundreds (write 1 and carry 1) 8 8 + 3 + 1 (carried) = 12 thousands (write 2 and carry 1) 6 4 4 + 1 = 9 ten thousands 2 + 0 = 2 hundred thousands 3 millions 2 Copyright 2006 www. biblicalchristianworldview. net
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