Binary Divider

A binary divider is a digital circuit that performs the division operation on binary numbers. It takes two binary numbers as input, the dividend and the divisor, and produces the quotient and remainder as output.

Binary dividers are used in many digital systems, including microprocessors, calculators, and communication systems. They can be implemented using various techniques, such as restoring division, non-restoring division, and SRT division. The choice of technique depends on the requirements of the system, such as speed, accuracy, and cost. Binary dividers are used where high-speed processing is required, such as digital signal processing, control systems, and data processing.

1bit divider truth table

Basic rules of binary division

• 0 ÷ 0 = Insignificant
• 0 ÷ 1 = 0
• 1 ÷ 0 = Insignificant
• 1 ÷ 1 = 1

2bit binary divider Truth Table

K-Map

From the K-map

Q1 = A1B1'

Q0 = A0B1'+A1B0'+A1A0

R1 = A1A0'B1B0

R0 = A1'A0B1+A0B0'

Implementation of 2-bit divider circuit using combinational circuits

Example: Dividend - 111000 (56 in decimal) and divisor 101 (5 in decimal) Using Long division technique

quotient - 1011 (11 in decimal) and Reminder - 01

Explanation:

• Remove the leftmost zero's present in the Dividend and Divisor
• Step 1: First, compare the dividend's first three bits numbers to the divisor. In the quotient position, add the bit 1. Then subtract the value, and you'll receive 10 as a result.
• Step 2: Next, bring down the next bit from the dividend part; now you have the number less than the divisor. Make the next quotient bit zero and bring down another dividend bit and compare.; repeat step 1 again.
• Step 3: Continue to do this till the dividend is less than divisor.
• Finally the Quotient is 1011 and Reminder is 01

Division Methods

• Restoring Division
• Non Restoring Division