1. Find the decimal equivalent of the following binary numbers expressed in the 2's complement format: a) 00001110 b) 10001110 2. Using Boolean algebra, simplify the expression: F= XZ+ X(Y+Z) + Z(Y +Z) 3. Find the binary equivalent of (374.26)s and the octal equivalent of (1110100.0100111)2

Electric Motor Control
10th Edition
ISBN:9781133702818
Author:Herman
Publisher:Herman
Chapter22: Sequence Control
Section: Chapter Questions
Problem 6SQ: Draw a symbol for a solid-state logic element AND.
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1. Find the decimal equivalent of the following binary numbers expressed in the 2's
complement format:
a) 00001110
b) 10001110
2. Using Boolean algebra, simplify the expression:
F= XZ+ X(Y+Z) + Z(Y +Z)
3. Find the binary equivalent of (374.26)8 and the octal equivalent of (1110100.0100111)2
4. Subtract (29.A)16 from (4F.B)16 Use 2's complement arithmetic.
In your solution, indicate the following:
a) Solution in binary
b) Hex equivlent of the resulting binary number
Transcribed Image Text:1. Find the decimal equivalent of the following binary numbers expressed in the 2's complement format: a) 00001110 b) 10001110 2. Using Boolean algebra, simplify the expression: F= XZ+ X(Y+Z) + Z(Y +Z) 3. Find the binary equivalent of (374.26)8 and the octal equivalent of (1110100.0100111)2 4. Subtract (29.A)16 from (4F.B)16 Use 2's complement arithmetic. In your solution, indicate the following: a) Solution in binary b) Hex equivlent of the resulting binary number
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