Binary to Hexadecimal Converter
Convert between binary and hexadecimal number systems using the 4-bit grouping method. Essential for programming, web development (color codes), and digital electronics.
How do I convert binary to hexadecimal?
Binary to hexadecimal uses grouping of 4 bits. Starting from the rightmost bit (or decimal point), group binary digits into sets of four. Pad with leading zeros if needed. Convert each 4-bit group to its hex equivalent: 0000=0, 0001=1, ... 1001=9, 1010=A, 1011=B, 1100=C, 1101=D, 1110=E, 1111=F. Example: 11011011 binary → groups 1101 and 1011 → DB hex. For fractions: group to the right, padding with trailing zeros. This works because hexadecimal (base-16) = 2^4, so each hex digit maps to exactly 4 bits.
How do I convert hexadecimal to binary?
Hexadecimal to binary is the reverse: replace each hex digit with its 4-bit binary equivalent. Each hex digit maps to exactly 4 bits: 0=0000, 1=0001, 2=0010, 3=0011, 4=0100, 5=0101, 6=0110, 7=0111, 8=1000, 9=1001, A=1010, B=1011, C=1100, D=1101, E=1110, F=1111. Example: A3 hex = 1010 0011 binary = 10100011. 2F.4 hex = 0010 1111.0100 binary = 101111.01 (drop leading/trailing zeros). This direct mapping makes hex an ideal shorthand for binary in computing.
Why is hexadecimal used in computing?
Hexadecimal is essential in computing because it provides a compact, human-readable representation of binary data. One hex digit = 4 bits, making it 4x more compact than binary. Common uses: Memory addresses (0x7FFF, 0xFFFFFFFF). Color codes in HTML/CSS (#FF5733). MAC addresses (00:1A:2B:3C:4D:5E). Unicode code points (U+0041 = A). Assembly language and machine code. Debugging tools and hex editors (viewing raw file data). IPv6 addresses (2001:0db8::1). The "0x" prefix denotes hexadecimal in most programming languages.
What is the hexadecimal number system?
Hexadecimal is a base-16 number system using 16 unique digits: 0-9 represent values 0-9, A-F represent values 10-15. Each place value is a power of 16: 16^0=1, 16^1=16, 16^2=256, 16^3=4096, etc. Example: 2F3 hex = (2×256) + (15×16) + (3×1) = 512 + 240 + 3 = 755 decimal. Key patterns: FF = 255 (one byte max), 100 = 256, FFFF = 65,535 (two bytes), 10000 = 65,536. Counting in hex: 0,1,2,...9,A,B,C,D,E,F,10,11,...1F,20,...FF,100. It bridges between binary and decimal systems.