Overview
The objective is to add two given binary numbers. Binary numbers are only composed of digits 0 and 1. Below is the binary addition logic for individual digits
- 0+0 = Sum is 0, Carry is 0
- 0+1 = Sum is 1, Carry is 0
- 1+0 = Sum is 0, Carry is 0
- 1+1 = Sum is 0, Carry is 1
- 1+1+1 = Sum is 1, Carry is 1
Examples
Input: "101" + "11"
Output: "1000"
Input: "111" + "101"
Output: "1100"
Program
Below is the program for the same
package main
import (
"fmt"
"strconv"
)
func addBinary(a string, b string) string {
lenA := len(a)
lenB := len(b)
i := lenA - 1
j := lenB - 1
var output string
var sum int
carry := 0
for i >= 0 && j >= 0 {
first := int(a[i] - '0')
second := int(b[j] - '0')
sum, carry = binarySum(first, second, carry)
output = strconv.Itoa(sum) + output
i = i - 1
j = j - 1
}
for i >= 0 {
first := int(a[i] - '0')
sum, carry = binarySum(first, 0, carry)
output = strconv.Itoa(sum) + output
i = i - 1
}
for j >= 0 {
second := int(b[j] - '0')
sum, carry = binarySum(0, second, carry)
output = strconv.Itoa(sum) + output
j = j - 1
}
if carry > 0 {
output = strconv.Itoa(1) + output
}
return output
}
func binarySum(a, b, carry int) (int, int) {
output := a + b + carry
if output == 0 {
return 0, 0
}
if output == 1 {
return 1, 0
}
if output == 2 {
return 0, 1
}
if output == 3 {
return 1, 1
}
return 0, 0
}
func main() {
output := addBinary("101", "11")
fmt.Println(output)
output = addBinary("111", "101")
fmt.Println(output)
}
Output
1000
1100
Note: Check out our Golang Advanced Tutorial. The tutorials in this series are elaborative and we have tried to cover all concepts with examples. This tutorial is for those who are looking to gain expertise and a solid understanding of golang – Golang Advance Tutorial
Also if you are interested in understanding how all design patterns can be implemented in Golang. If yes, then this post is for you –All Design Patterns Golang