Binary To BCD converter Examples

1. (10110)₂ = ( ? )_BCD

Solution:
(10110)₂ = (_______)_BCD

1. Convert binary to decimal
(10110)₂ = (_______)₁₀

`10110`

` = 1 × 2^4 + 0 × 2^3 + 1 × 2^2 + 1 × 2^1 + 0 × 2^0`

`= 1 × 16 + 0 × 8 + 1 × 4 + 1 × 2 + 0 × 1`

`= 22`

`:.` (10110)₂ = (22)₁₀

2. Convert decimal to BCD
(22)₁₀ = (_______)_BCD

2	2
0010	0010

`:.` (22)₁₀ = (00100010)_BCD

`:.` (10110)₂ = (00100010)_BCD

2. (10011)₂ = ( ? )_BCD

Solution:
(10011)₂ = (_______)_BCD

1. Convert binary to decimal
(10011)₂ = (_______)₁₀

`10011`

` = 1 × 2^4 + 0 × 2^3 + 0 × 2^2 + 1 × 2^1 + 1 × 2^0`

`= 1 × 16 + 0 × 8 + 0 × 4 + 1 × 2 + 1 × 1`

`= 19`

`:.` (10011)₂ = (19)₁₀

2. Convert decimal to BCD
(19)₁₀ = (_______)_BCD

1	9
0001	1001

`:.` (19)₁₀ = (00011001)_BCD

`:.` (10011)₂ = (00011001)_BCD

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