Chapter 4 Combinational circuit Objectives Functions Analysis Functions

Chapter 4: Combinational circuit Objectives - Functions Analysis. - Functions Design. - Recognizing with some circuits Half Adder. Full Adder. Decoder. Multiplexer.

Analysis Procedure: Solution: Required to find the inputs and terms for F 1 and F 2. So each function should be divided into parts; then will get the output for each function separately. Then will write the outputs for F 1 and F 2 as follows:

Design Procedure: 1. 2. 3. 4. Determine the input and output of the circuit Truth table creation for inputs/outputs. Circuit simplifying. Drawing Diagram. Example 1: Design a combinational circuit that converts the Binary Coded Decimal(BCD), the excess 3 code for decimal digit. . ﻋﻠﻰ ﺍﻟﻌﺪﺩ ﺍﻟﻌﺸﺮﻱ 3 ( ﻭﺫﻟﻚ ﺑﺰﻳﺎﺩﺓ BCD) ﺗﺼﻤﻴﻢ ﺩﺍﺋﺮﺓ ﺗﺤﻮﻝ ﺍﻟﺘﺸﻔﻴﺮ ﺍﻟﻨﺎﺋﻲ ﺇﻟﻰ ﺍﻟﻌﺸﺮﻱ Solution: Next Slide

Solution: 1, 2. Determine inputs/ outputs and truth table creating 3. Simplify

4. Draw Diagram: W = A +BD + BC X = BC`D` + B`D + B`C Z = D` Y = C`D` + CD

Example 2: Design a 2 – bit binary Multiplier Solution: 1, 2. Determine inputs/ outputs and truth table creating. - Required: design Multiplier Function; its task is multiplying inputs values and give the result to outputs. - Column (A 0, A 1) are considered a one number; which will be multiplied by another number (B 0, B 1):

Cont. Example 2: Design a 2 – bit binary Multiplier 3. Simplify

Cont. Example 2: Design a 2 – bit binary Multiplier 4. Draw Diagram:

Example 3: Design a 2 – bit Magnitude Comparator Solution: 1, 2. Determine inputs/ outputs and truth table creating. - Required: design Magnitude Comparator circute; its task is comparing between inputs values. - Column (A 0, A 1) are considered a one number; and compare its value with another number (B 0, B 1); and put the results in outputs

Cont. Example 3: Design a 2 – bit Magnitude Comparator 3. Simplify

Cont. Example 3: Design a 2 – bit Magnitude Comparator 4. Draw Diagram: